LCM of 226, 963, 904, 513, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 226, 963, 904, 513, 234 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 226, 963, 904, 513, 234. So, keep reading to learn more.
Given numbers are 226,963,904,513,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,963,904,513,234 is 645079032.
Find LCM of 226,963,904,513,234 with Prime Factorization
| 2 | 226, 963, 904, 513, 234 |
| 3 | 113, 963, 452, 513, 117 |
| 3 | 113, 321, 452, 171, 39 |
| 113 | 113, 107, 452, 57, 13 |
| 1, 107, 4, 57, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 113 x 1 x 107 x 4 x 57 x 13 = 645079032
Therefore, the lowest common multiple of 226,963,904,513,234 is 645079032.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
226 x 963 x 904 x 513 x 234 = 23617633519584
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
226 : 1, 2, 113, 226
963 : 1, 3, 9, 107, 321, 963
904 : 1, 2, 4, 8, 113, 226, 452, 904
513 : 1, 3, 9, 19, 27, 57, 171, 513
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,963,904,513,234, is 1.
Now, the common factors can be found like this.
226:2x 113
963:3x 3x 107
904:2x 2x 2x 113
513:3x 3x 3x 19
234:2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3x 113 = 36612
Therefore, the value for common factors is 36612.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 23617633519584/(1x36612)
LCM = 23617633519584/36612
LCM = 645079032
Thus, we can understand that the LCM of 226,963,904,513,234 is 645079032.
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FAQs on LCM of 226, 963, 904, 513, 234
1. What is the LCM of 226, 963, 904, 513, 234?
Answer: LCM of 226, 963, 904, 513, 234 is 645079032.
2. How to calculate the LCM of 226, 963, 904, 513, 234?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 226, 963, 904, 513, 234.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.